Torsion units in integral group rings, conjugacy classes globally versus locally

DOI10.1007/BF01268864zbMath0854.16022OpenAlexW2084215748MaRDI QIDQ1924931

Alexander Zimmermann

Publication date: 1 December 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01268864

zbMATH Keywords

finite groupsclass numbersintegral representationsdihedral groupsintegral group ringsisomorphism problemconjugacy classes of finite subgroupsabelian number fieldsunits in group ringsaugmentation mapping

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Class numbers, class groups, discriminants (11R29) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60) Class groups and Picard groups of orders (11R65)

Cites Work

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• The Picard Group of Noncommutative Rings, in Particular of Orders
• Class Number Computations of Real Abelian Number Fields
• Integral Representations of Dihedral Groups of Order 2p
• On the class-number of the maximal real subfield of a cyclotomic field.
• On the Modular Group Ring of a p-Group
• Isomorphisms of p-adic group rings

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